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Finding the Third Proportional to 117,892 and 256,304

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Solution

The third proportional to 117,892 and 256,304 is: 557,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,892 : 256,304 = 256,304 : x
  2. Step 2: Convert to fraction form
    117,892/256,304 = 256,304/x
  3. Step 3: Cross multiply
    117,892x = 256,304 × 256,304
  4. Step 4: Simplify right side
    117,892x = 65,691,740,416
  5. Step 5: Solve for x
    x = 65,691,740,416/117,892
  6. Step 6: Final answer
    x = 557,219.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.